Answer to Question #198823 in Physics for rackell

Question

A 89.2 kg weight-watcher wishes to climb a mountain to work off the equivalent of a large piece of chocolate cake rated at 724 (food) Calories. How high must the person climb? The acceleration due to gravity is 9.8 m/s 2 and 1 food Calorie is 10^3 calories. Answer in units of km.

Answer 1

$$E=mgh\\724000=(89.2)(9.8)h\\h=0.828\ km$$